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BODMAS Rule Of Mathematics

BODMAS Rule

Introduction to BODMAS: 

Mathematical operations can drive you crazy if they aren’t handled correctly. Operations like addition, multiplication, subtraction & division appear pretty easy when they come individually. The real deal begins when they are clubbed together and they look something like this

                             7+(6*52+3)

It is impossible to decide which part to solve first. Now, this is exactly where the BODMAS rule of Mathematics comes to the rescue.

BODMAS RULE
Reference

What is the BODMAS rule of Mathematics?

The BODMAS is also known as PEDMAS which stands for Parentheses, Exponents, Division, Multiplication, Addition, and Subtraction. According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction.

Mathematical Operations

“Mathematical operations” are what you do to the numbers given. The four main operations are:

  • addition (+)
  • subtraction (-)
  • multiplication (x)
  • and division (÷)

BODMAS is also termed  BIDMAS which stands for Brackets, Indices, Division/Multiplication, Addition/Subtraction.

How to go about it?

Let’s get into some easy examples:

Always remember, BRACKETS FIRST

          4*(5+3)= 4*8=32

After solving the bracketed part, go over to the Order or Exponents or power, roots

           5*22=5*4=20

Next up, you need to Multiply or Divide

              2+5*3=2+15=17

Addition or subtraction should be the last thing you do while solving these problems.

Or you might as well go left to right,

         30/5*3=6*3=18

Let’s look at some examples:

Example 1: Simplify the expression: 18 – [6 – {4 – (8-6+3)}]                                                      

Sol: This is an example where brackets are given. Brackets are solved after Bar. The order of  Solving the brackets is (), {} and [] respectively. Therefore,                                                            

= 18 – [6 – {4 – (8 – 9)}] ⇒ 18 – [6 – {4 – (- 1)}]                                                                               

= 18 – [6 – {4 + 1}] ⇒ 18 – [ 6 – 5]  18 – [ 1] = 18 – 1 = 17                                                               

Example 2:  Solve 20+20×20÷20/20×20÷+20                                                                                 

20+20×20÷20/20×20÷+20                                                                                                                

= 20+20×20×(1/2)/20×20×(1/20)+20                                                                                                

=20+20/20+20=40/40=1                                                                                                              

Sums that you can try:

  1. 3+20*3
  2. 25-5/(3+2)
  3. 10+6*(1+10)
  4. 5(3+2)+52
  5. (106+26)-550/52+10
  6. 7+7/+7*7
Tags : BIDMASBODMAS RuleMathematicsPEDMAS
Vikram

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